$9.$ The current spot exchange rate between the dollar and the pound is $1\mathrm{.}22$ $$/.$ Inflation over the next year is expected to be $8\mathrm{.}11\%$ in the US and $1-$year Treasury debt has a $4\mathrm{.}2\%$ yield. Inflation over the next year is expected to be $9\mathrm{.}9\%$ in the UK and the $1-$year Gilt debt $($UK sovereign debt$)$ has a $4\mathrm{.}9\%$ yield. What should the forward rate if the $1-$year treasury yield changed to the following:

a$.3\mathrm{.}51\%$

b$.4\mathrm{.}59\%$

c$.4\mathrm{.}98\%$

d$.5\mathrm{.}44\%$

e$.5\mathrm{.}87\%$